With a good sample, the sample mean gets closer to the population mean.
The standard error increases.
Decreases
yes
It approaches a normal distribution.
Decrease
The standard error increases.
Decreases
As the sample size increases, the standard deviation of the sample mean, also known as the standard error, tends to decrease. This is because larger samples provide more accurate estimates of the population mean, leading to less variability in sample means. However, the standard deviation of the population itself remains unchanged regardless of sample size. Ultimately, a larger sample size results in more reliable statistical inferences.
yes
It approaches a normal distribution.
As the sample size increases, the standard error decreases. This is because the standard error is calculated as the standard deviation divided by the square root of the sample size. A larger sample size provides more information about the population, leading to a more precise estimate of the population mean, which reduces variability in the sample mean. Thus, with larger samples, the estimates become more reliable.
mean
decreases
The width of the confidence interval increases.
Decrease
No, it is not.
No.